On Bilinear Maximal Bochner-Riesz Operators

Abstract

We prove that the bilinear maximal Bochner-Riesz operator $T_{\ast }^{\lambda }$ is bounded from $L^{p_1}({\mathbb{R}}^n)\times L^{p_2}({\mathbb{R}}^n)$ to $L^p({\mathbb{R}}^n)$ for appropriate $(p_1,p_2,p)$ when $\lambda >(4n+3)/5$.

18 pages